Let Age of Mahima = x.
Age of Anita = 2x.
Age of Rajan = x/2.
Age of Deepti = 4x.
Age of Lata = x/4.
Now we have the following arrangements in descending order
Deepti > Anita > Mahima > Rajan > Lata
There are no two persons of the same age as per the given information.